What approximate value will come in place of question mark (?) in the following questions? (You are not excepted to calculate the exact value.)
`3.07xx14.96+(15.02)^2-(11.030)^2=?`

Options

A. 101
B. 150
C. 133
D. 120

Answer

To solve the question step by step, we will approximate the values involved in the expression \(3.07 \times 14.96 + (15.02)^2 - (11.030)^2\).

### Step 1: Approximate the values
- Approximate \(3.07\) to \(3\).
- Approximate \(14.96\) to \(15\).
- Approximate \(15.02\) to \(15\).
- Approximate \(11.030\) to \(11\).

### Step 2: Substitute the approximated values into the expression
Now, we can rewrite the expression using the approximated values:
\[ 3 \times 15 + (15)^2 - (11)^2 \]

### Step 3: Calculate the multiplication and squares
- Calculate \(3 \times 15\):
\[ 3 \times 15 = 45 \]
- Calculate \((15)^2\):
\[ 15^2 = 225 \]
- Calculate \((11)^2\):
\[ 11^2 = 121 \]

### Step 4: Substitute these results back into the expression
Now, we can substitute these results back into the expression:
\[ 45 + 225 - 121 \]

### Step 5: Perform the addition and subtraction
- First, add \(45\) and \(225\):
\[ 45 + 225 = 270 \]
- Then, subtract \(121\) from \(270\):
\[ 270 - 121 = 149 \]

### Final Result
The approximate value that comes in place of the question mark (?) is:
\[ \text{Answer} = 149 \]